The Fourier transform of the Schwartz space on a semisimple Lie group

Author:

Eguchi Masaaki

Publisher

Hiroshima University - Department of Mathematics

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Reference36 articles.

1. [1] J. G. Arthur, Harmonic analysis of tempereddistributions on semisimple Lie groups of real rank one, Ph. D. Thesis, Yale University, 1970.

2. [2] F. Bruhat, Sur les representations induits des groupesde Lie, Bull. Soc. Math. France, 84 (1956), 97-205.

3. [3] M. Eguchi, Harmonic analysis on some types of semisimpleLie groups, (to appear in Proc. Japan Acad.).

4. [4] M. Eguchi and K. Okamoto, The Fourier transform of the Schwartz space on a symmetric space, (to appear in Proc. Japan Acad.).

5. [5] M. Eguchi, M. Hashizume and K. Okamoto, The Paley- Wiener theorem for distributions on symmetric spaces,Hiroshima Math. J., 3 (1973).

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